2.1 If the columns of A are linearly dependent, and the matrix AA" is invertible, the least squares solution X is given by 1 X = ΑΤΑ -(A" b) [4 Find a least-squares solution of AX=b by using above expression for A = |0 2 and b = [1 1.

2.1 If the columns of A are linearly dependent, and the matrix AA" is invertible, the least squares solution X is given by 1 X = ΑΤΑ -(A" b) [4 Find a least-squares solution of AX=b by using above expression for A = |0 2 and b = [1 1.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 3AEXP

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if thecolumns are ....

2.1 If the columns of A are linearly dependent, and the matrix AAT is invertible, the least squares solution X is
given by
1
X =
AT A
-(A" b)
[4
01
2| and b =
Find a least-squares solution of AX=b by using above expression for A = |0

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